Báiyún International Airport is 28km north of Guangzhou, with airport shuttles into the centre available from ¥17 ($3.75), while a taxi will cost ¥150 ($33). Alternatively, the cheapest way to travel from the airport is by the Metro line, which is just ¥7 ($1.50) but takes around 40 minutes.
It’s worth considering buying a transit pass for the duration of your stay, which are available at metro stations. These can be used on all public transport, including yellow taxis, with prices starting at one-day (¥20) and three-day (¥50).
The city has plenty of taxis, although they can be hard to find during peak hours. It also has a large network of buses, although the routes and timetables need investigation in advance.